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Stability with Large Step Sizes for Multistep Discretizations of Stiff Ordinary Differential Equations

Stability with Large Step Sizes for Multistep Discretizations of Stiff Ordinary Differential Equations

In this paper we consider a large set of variable coefficient linear systems of ordinary differential equations which possess two different time scales, a slow one and a fast one. A small parameter $\varepsilon$ characterizes the stiffness of these systems. We approximate a system of ODE’s in this set by …